Abstract: | An asymptotic approach to the theory of the skin-effect is developed. An important part in the construction of the asymptotics is the pasting of the asymptotic expansions. The determination of the asymptotic expression for the electromagnetic field and the current density reduces to the solving of a sequence of Dirichlet problems.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 128, pp. 13–20, 1983.In conclusion, I consider a pleasant obligation to express my gratitude to A. M. Il'in for useful consultations. |